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  • A vessel of volume V contains a mixture of 1 mole of hydrogen and 1 mole of oxygen (both considered as ideal).

A vessel of volume V contains a mixture of 1 mole of hydrogen and 1 mole of oxygen (both considered as ideal). Let f_{1}(v)dv denotes the fraction of molecules with speed between v and (v + dv) with f_2(v)dv, similarly for oxygen. Then,
(a) f_{1}(v) + f_{2}(v) = f (v) obeys the Maxwell’s distribution law
(b) f_{1}(v) , f_{2}(v) will obey the Maxwell’s distribution law separately
(c) neither f_{1}(v) nor f_{2}(v)will obey Maxwell’s distribution law
(d) f_{1}(v) and f_{2}(v)will be the same

Answers (1)

The correct answer is the option (b)

F1(v): speed of n molecules = (v+dv)

The number of molecules remains the same, which is one mole for f_{1}(v) and f_{2}(v). since the molecules differ in mass, they will also differ in speed, and hence both gases will separately obey Maxwell’s distribution.

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